A New Approach for One-Dimensional Sine-Gordon Equation
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GOLD
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Yes
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Abstract
In this work, we use a reproducing kernel method for investigating the sine-Gordon equation with initial and boundary conditions. Numerical experiments are studied to show the efficiency of the technique. The acquired results are compared with the exact solutions and results obtained by different methods. These results indicate that the reproducing kernel method is very effective.
Description
Keywords
Reproducing Kernel Method, Sine-Gordon Equation, Bounded Linear Operator, Homogenizing, sine-Gordon equation, Geometry, Mathematical analysis, Quantum mechanics, homogenizing, Sine, bounded linear operator, Engineering, Single Particle Tracking, Differential equation, Soliton, FOS: Mathematics, Work (physics), Boundary value problem, Anomalous Diffusion Modeling and Analysis, Algebra and Number Theory, Applied Mathematics, Physics, Pure mathematics, Statistical and Nonlinear Physics, Partial differential equation, Applied mathematics, Fracture Mechanics Modeling and Simulation, Physics and Astronomy, Mechanics of Materials, Modeling and Simulation, Physical Sciences, Kernel (algebra), Nonlinear system, Thermodynamics, reproducing kernel method, Analysis, Mathematics, Ordinary differential equation, Rogue Waves in Nonlinear Systems, Soliton equations, Finite difference methods for initial value and initial-boundary value problems involving PDEs, KdV equations (Korteweg-de Vries equations), Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
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Citation
Akgul, Ali; Inc, Mustafa; Kilicman, Adem; et al., "A new approach for one-dimensional sine-Gordon equation", Advances in Difference Equations, (2016).
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OpenCitations Citation Count
29
Volume
2016
Issue
1
Start Page
1
End Page
20
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CrossRef : 29
Scopus : 29
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